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Finding the Fourth Proportional to 2,200.66, 3,298.59 and 812.81

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Solution

The fourth proportional to 2,200.66, 3,298.59 and 812.81 is: 1,218.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200.66 : 3,298.59 = 812.81 : x
  2. Step 2: Convert to fraction form
    2,200.66/3,298.59 = 812.81/x
  3. Step 3: Cross multiply
    2,200.66x = 3,298.59 × 812.81
  4. Step 4: Simplify right side
    2,200.66x = 2,681,135.18
  5. Step 5: Solve for x
    x = 2,681,135.18/2,200.66
  6. Step 6: Final answer
    x = 1,218.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.